32850700122240 has 5760 divisors, whose sum is σ = 168700112380800. Its totient is φ = 5943780311040.

The previous prime is 32850700122239. The next prime is 32850700122299. The reversal of 32850700122240 is 4222100705823.

32850700122240 is a `hidden beast` number, since 3 + 2 + 8 + 507 + 0 + 0 + 122 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 32850700122195 and 32850700122204.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 140990129164 + ... + 140990129396.

It is an arithmetic number, because the mean of its divisors is an integer number (29288213955).

Almost surely, 2^{32850700122240} is an apocalyptic number.

32850700122240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32850700122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84350056190400).

32850700122240 is an abundant number, since it is smaller than the sum of its proper divisors (135849412258560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32850700122240 is a wasteful number, since it uses less digits than its factorization.

32850700122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 32850700122240 in words is "thirty-two trillion, eight hundred fifty billion, seven hundred million, one hundred twenty-two thousand, two hundred forty".